PL50(zoom): 3bp, 3-way, deep, ip

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PL50(zoom): 3bp, 3-way, deep, ip

BN: $91.22 (Hero)
SB: $117.46
BB: $59.67
UTG: $52.06
HJ: $25.69
CO: $89.59
SB - 28/12, 3bet 7, cb total 83, hands 110
BB - 39/9, 3bet - n/a, hands 11
Preflop ($0.75) (6 Players)
Hero was dealt A 9 Q K
UTG folds, HJ folds, CO folds, Hero raises to $1.50, SB calls $1.25, BB raises to $6, Hero calls $4.50, SB calls $4.50
Flop ($18.50) 5 J 8 (3 Players)
SB checks, BB bets $6.50

I have 2 idea about this spot:

1) CB sizing BB in this wet flop tells us that his hand is weak. Actions SB also don't tell us about the great power of his hand. So we can push here and pick up this dead money but if we get call it isn't a fail because against stackoff range we have ~50%.

2) 

a) It's perfect hand for mw pot and we have position.

b) We aren't a favorite against stackoff range.

c) Small bet sizing BB with monster in this flop is perfect way to get value from weak hands. And we don't really sure about SB range with whom we have 200bb deep. All of this does not add profitability to our flop push.

So we can call here and let weak hands\draws to make a mistake.

What way of thinking is best?

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